Math  /  Discrete

QuestionFor each pair of statements, choose the one that is true. (a) {4}{4,5}\{4\} \in\{4,5\} 4{4,5}4 \in\{4,5\} (b) {10,12,14}{2,4,6,8,}\{10,12,14\} \subseteq\{2,4,6,8, \ldots\} {10,12,14}{2,4,6,8,}\{10,12,14\} \in\{2,4,6,8, \ldots\} (c) q{q,r}q \subseteq\{q, r\} {q}{q,r}\{q\} \subseteq\{q, r\} {g}{e,g,h}\{g\} \in\{e, g, h\} (d) {g}{e,f,h}\{g\} \nsubseteq\{e, f, h\}

Studdy Solution
Analyze statement (d):
- Statement: {g}{e,g,h}\{g\} \in \{e, g, h\} - This statement is false because {g}\{g\} is a set, and {e,g,h}\{e, g, h\} contains the elements e,g,he, g, h, not the set {g}\{g\}.
- Statement: {g}{e,f,h}\{g\} \nsubseteq \{e, f, h\} - This statement is true because the set {g}\{g\} is not a subset of {e,f,h}\{e, f, h\} since gg is not an element of {e,f,h}\{e, f, h\}.
The true statement is: {g}{e,f,h}\{g\} \nsubseteq \{e, f, h\}.
The true statements are: (a) 4{4,5}4 \in \{4,5\} (b) {10,12,14}{2,4,6,8,}\{10,12,14\} \subseteq \{2,4,6,8,\ldots\} (c) {q}{q,r}\{q\} \subseteq \{q, r\} (d) {g}{e,f,h}\{g\} \nsubseteq \{e, f, h\}

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